Given numbers are 709,168,214,444

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 709,168,214,444 is 471564408.

Find LCM of 709,168,214,444 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 709 x 14 x 107 x 37 = 471564408

Therefore, the lowest common multiple of 709,168,214,444 is 471564408.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

709 x 168 x 214 x 444 = 11317545792

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

709 : 1, 709

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

214 : 1, 2, 107, 214

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,168,214,444, is 1.

Now, the common factors can be found like this.

709:709

168:2x 2x 2x 3x 7

214:2x 107

444:2x 2x 3x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11317545792/(1x24)

LCM = 11317545792/24

LCM = 471564408

Thus, we can understand that the LCM of 709,168,214,444 is 471564408.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 663, 615, 982, 738
• LCM of 467, 969, 916, 978
• LCM of 728, 979, 732, 734
• LCM of 382, 849, 121, 379
• LCM of 616, 136, 647, 700

1. What is the LCM of 709, 168, 214, 444?

Answer: LCM of 709, 168, 214, 444 is 471564408.

2. How to calculate the LCM of 709, 168, 214, 444?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 709, 168, 214, 444.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.